Given numbers are 107,266,107,135,512

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 107,266,107,135,512 is 983646720.

Find LCM of 107,266,107,135,512 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 107 x 1 x 133 x 1 x 135 x 256 = 983646720

Therefore, the lowest common multiple of 107,266,107,135,512 is 983646720.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

107 x 266 x 107 x 135 x 512 = 210500398080

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

107 : 1, 107

266 : 1, 2, 7, 14, 19, 38, 133, 266

107 : 1, 107

135 : 1, 3, 5, 9, 15, 27, 45, 135

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,266,107,135,512, is 1.

Now, the common factors can be found like this.

107:107

266:2x 7x 19

107:107

135:3x 3x 3x 5

512:2x 2x 2x 2x 2x 2x 2x 2x 2

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 107 = 214

Therefore, the value for common factors is 214.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 210500398080/(1x214)

LCM = 210500398080/214

LCM = 983646720

Thus, we can understand that the LCM of 107,266,107,135,512 is 983646720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 223, 606, 362, 860, 751
• LCM of 192, 893, 134, 508, 550
• LCM of 449, 949, 184, 678, 334
• LCM of 193, 423, 754, 951, 211
• LCM of 966, 434, 948, 637, 165

1. What is the LCM of 107, 266, 107, 135, 512?

Answer: LCM of 107, 266, 107, 135, 512 is 983646720.

2. How to calculate the LCM of 107, 266, 107, 135, 512?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 107, 266, 107, 135, 512.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.